### Joint Modeling of Longitudinal and Time-to-Event Data

Longitudinal data analysis and survival analysis are among the fastest expanding areas of statistics and biostatistics in the past thirty years. There has been a rapidly growing interest in joint models of longitudinal and survival data. This book is the first to give a comprehensive account of the…

Hardback – 2016-07-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Multivariate Geostatistical Models

#### Inference and Computation

Multivariate geostatistical data involves the observation of two or more spatial processes at spatial and/or temporal points. The objective of such analysis is to estimate the correlation or dependence structure between the multiple variable or to predict the multiple variable at unsampled…

Hardback – 2016-07-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Structural Nonparametric Models for the Analysis of Longitudinal Data

This book covers the recent advancement of statistical methods for the analysis of longitudinal data. Real datasets from four large NIH-supported longitudinal clinical trials and epidemiological studies illustrate the practical applications of the statistical methods. This book focuses on the…

Hardback – 2016-07-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Likelihood and its Extensions

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Handbook of Approximate Bayesian Computation

Approximate Bayesian Computation (ABC) methods, also known as "likelihood-free" inference methods, can be used to solve very complex ("computationally intractable") problems. A huge amount of research has been conducted in this area over the last decade and a varied suite of algorithms, models,…

Hardback – 2016-06-29

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Multi-State Survival Models for Interval-Censored Data

Multi-state models describe stochastic processes that consist of transitions between states over time, such as the three-state illness-death model. Interval-censored data is extremely common as the exact time of transition from one state to another is unknown—only an interval of time is known. This…

Hardback – 2016-05-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Martingale Methods in Statistics

This gives a comprehensive introduction to the (standard) statistical analysis based on the theory of martingales and develops entropy methods in order to treat dependent data in the framework of martingales. The author starts a summary of the martingale theory, and then proceeds to give full…

Hardback – 2016-04-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Absolute or Crude Risk

#### Applications in Disease Prevention

Absolute risk is the probability of developing a specific disease over a specified time interval in the presence of competing causes of mortality. Although absolute risk is arguably more relevant to clinical decision making than "pure" risk, the development of appropriate statistical methods for…

Hardback – 2016-02-14

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Perfect Simulation

Perfect simulation methods, also known as perfect sampling methods, are algorithms that draw random variates from complex physical and statistical models. These methods are used in MCMC simulation to create samples exactly from the target distribution, giving more accurate results. This book is…

Hardback – 2015-11-19

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Inferential Models

#### Reasoning with Uncertainty

This book delves into the authors’ work toward deeper understanding of statistical inference in terms of reasoning with uncertainty and meaningfulness of probabilistic inferential output. Focusing on a valid, prior-free probabilistic inferential framework called inferential models, the authors…

Hardback – 2015-10-29

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Semialgebraic Statistics and Latent Tree Models

Semialgebraic Statistics and Latent Tree Models explains how to analyze statistical models with hidden (latent) variables. It takes a systematic, geometric approach to studying the semialgebraic structure of latent tree models. The first part of the book gives a general introduction to key…

Hardback – 2015-08-25

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Models for Dependent Time Series

Models for Dependent Time Series addresses the issues that arise and the methodology that can be applied when the dependence between time series is described and modeled. Whether you work in the economic, physical, or life sciences, the book shows you how to draw meaningful, applicable, and…

Hardback – 2015-08-04

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Measuring Statistical Evidence Using Relative Belief

A Sound Basis for the Theory of Statistical Inference Measuring Statistical Evidence Using Relative Belief provides an overview of recent work on developing a theory of statistical inference based on measuring statistical evidence. It shows that being explicit about how to measure statistical…

Hardback – 2015-06-22

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Stochastic Analysis for Gaussian Random Processes and Fields

#### With Applications

Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs). The book begins with…

Hardback – 2015-06-22

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Statistical Learning with Sparsity

#### The Lasso and Generalizations

Discover New Methods for Dealing with High-Dimensional Data A sparse statistical model has only a small number of nonzero parameters or weights; therefore, it is much easier to estimate and interpret than a dense model. Statistical Learning with Sparsity: The Lasso and Generalizations presents…

Hardback – 2015-05-06

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Bayesian Inference for Partially Identified Models

#### Exploring the Limits of Limited Data

Bayesian Inference for Partially Identified Models: Exploring the Limits of Limited Data shows how the Bayesian approach to inference is applicable to partially identified models (PIMs) and examines the performance of Bayesian procedures in partially identified contexts. Drawing on his many years…

Hardback – 2015-03-31

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Pareto Distributions Second Edition

Since the publication of the first edition over 30 years ago, the literature related to Pareto distributions has flourished to encompass computer-based inference methods. Pareto Distributions, Second Edition provides broad, up-to-date coverage of the Pareto model and its extensions. This edition…

Hardback – 2015-03-09

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Introduction to High-Dimensional Statistics

Ever-greater computing technologies have given rise to an exponentially growing volume of data. Today massive data sets (with potentially thousands of variables) play an important role in almost every branch of modern human activity, including networks, finance, and genetics. However, analyzing…

Hardback – 2014-12-16

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Design and Analysis of Cross-Over Trials, Third Edition

Design and Analysis of Cross-Over Trials is concerned with a specific kind of comparative trial known as the cross-over trial, in which subjects receive different sequences of treatments. Such trials are widely used in clinical and medical research, and in other diverse areas such as veterinary…

Hardback – 2014-10-07

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Hierarchical Modeling and Analysis for Spatial Data, Second Edition

Keep Up to Date with the Evolving Landscape of Space and Space-Time Data Analysis and Modeling Since the publication of the first edition, the statistical landscape has substantially changed for analyzing space and space-time data. More than twice the size of its predecessor, Hierarchical Modeling…

Hardback – 2014-09-11

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Robust Cluster Analysis and Variable Selection

Clustering remains a vibrant area of research in statistics. Although there are many books on this topic, there are relatively few that are well founded in the theoretical aspects. In Robust Cluster Analysis and Variable Selection, Gunter Ritter presents an overview of the theory and applications…

Hardback – 2014-09-01

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Sequential Analysis

#### Hypothesis Testing and Changepoint Detection

Sequential Analysis: Hypothesis Testing and Changepoint Detection systematically develops the theory of sequential hypothesis testing and quickest changepoint detection. It also describes important applications in which theoretical results can be used efficiently. The book reviews recent…

Hardback – 2014-08-26

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Data Analysis and Approximate Models

#### Model Choice, Location-Scale, Analysis of Variance, Nonparametric Regression and Image Analysis

The First Detailed Account of Statistical Analysis That Treats Models as Approximations The idea of truth plays a role in both Bayesian and frequentist statistics. The Bayesian concept of coherence is based on the fact that two different models or parameter values cannot both be true. Frequentist…

Hardback – 2014-07-06

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Dependence Modeling with Copulas

Dependence Modeling with Copulas covers the substantial advances that have taken place in the field during the last 15 years, including vine copula modeling of high-dimensional data. Vine copula models are constructed from a sequence of bivariate copulas. The book develops generalizations of vine…

Hardback – 2014-06-25

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Quasi-Least Squares Regression

Drawing on the authors’ substantial expertise in modeling longitudinal and clustered data, Quasi-Least Squares Regression provides a thorough treatment of quasi-least squares (QLS) regression—a computational approach for the estimation of correlation parameters within the framework of generalized…

Hardback – 2014-01-27

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Randomised Response-Adaptive Designs in Clinical Trials

Randomised Response-Adaptive Designs in Clinical Trials presents methods for the randomised allocation of treatments to patients in sequential clinical trials. Emphasizing the practical application of clinical trial designs, the book is designed for medical and applied statisticians, clinicians,…

Hardback – 2013-12-25

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Theory of Factorial Design

#### Single- and Multi-Stratum Experiments

Bringing together both new and old results, Theory of Factorial Design: Single- and Multi-Stratum Experiments provides a rigorous, systematic, and up-to-date treatment of the theoretical aspects of factorial design. To prepare readers for a general theory, the author first presents a unified…

Hardback – 2013-12-20

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Constrained Principal Component Analysis and Related Techniques

In multivariate data analysis, regression techniques predict one set of variables from another while principal component analysis (PCA) finds a subspace of minimal dimensionality that captures the largest variability in the data. How can regression analysis and PCA be combined in a beneficial…

Hardback – 2013-10-23

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Statistical Analysis of Spatial and Spatio-Temporal Point Patterns, Third Edition

Written by a prominent statistician and author, the first edition of this bestseller broke new ground in the then emerging subject of spatial statistics with its coverage of spatial point patterns. Retaining all the material from the second edition and adding substantial new material, Statistical…

Hardback – 2013-07-22

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Analysis of Variance for Functional Data

Despite research interest in functional data analysis in the last three decades, few books are available on the subject. Filling this gap, Analysis of Variance for Functional Data presents up-to-date hypothesis testing methods for functional data analysis. The book covers the reconstruction of…

Hardback – 2013-06-17

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Mean Field Simulation for Monte Carlo Integration

In the last three decades, there has been a dramatic increase in the use of interacting particle methods as a powerful tool in real-world applications of Monte Carlo simulation in computational physics, population biology, computer sciences, and statistical machine learning. Ideally suited to…

Hardback – 2013-05-19

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Statistical Methods for Stochastic Differential Equations

The seventh volume in the SemStat series, Statistical Methods for Stochastic Differential Equations presents current research trends and recent developments in statistical methods for stochastic differential equations. Written to be accessible to both new students and seasoned researchers, each…

Hardback – 2012-05-16

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Maximum Likelihood Estimation for Sample Surveys

Sample surveys provide data used by researchers in a large range of disciplines to analyze important relationships using well-established and widely used likelihood methods. The methods used to select samples often result in the sample differing in important ways from the target population and…

Hardback – 2012-05-01

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Extreme Value Methods with Applications to Finance

Extreme value theory (EVT) deals with extreme (rare) events, which are sometimes reported as outliers. Certain textbooks encourage readers to remove outliers—in other words, to correct reality if it does not fit the model. Recognizing that any model is only an approximation of reality,…

Hardback – 2011-12-19

CRC Press*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Dynamic Prediction in Clinical Survival Analysis

There is a huge amount of literature on statistical models for the prediction of survival after diagnosis of a wide range of diseases like cancer, cardiovascular disease, and chronic kidney disease. Current practice is to use prediction models based on the Cox proportional hazards model and to…

Hardback – 2011-11-08

CRC Press*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Statistical Inference

#### The Minimum Distance Approach

In many ways, estimation by an appropriate minimum distance method is one of the most natural ideas in statistics. However, there are many different ways of constructing an appropriate distance between the data and the model: the scope of study referred to by "Minimum Distance Estimation" is…

Hardback – 2011-06-21

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Smoothing Splines

#### Methods and Applications

A general class of powerful and flexible modeling techniques, spline smoothing has attracted a great deal of research attention in recent years and has been widely used in many application areas, from medicine to economics. Smoothing Splines: Methods and Applications covers basic smoothing spline…

Hardback – 2011-06-21

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Robust Nonparametric Statistical Methods, Second Edition

Presenting an extensive set of tools and methods for data analysis, Robust Nonparametric Statistical Methods, Second Edition covers univariate tests and estimates with extensions to linear models, multivariate models, times series models, experimental designs, and mixed models. It follows the…

Hardback – 2010-12-19

CRC Press*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Simultaneous Inference in Regression

Simultaneous confidence bands enable more intuitive and detailed inference of regression analysis than the standard inferential methods of parameter estimation and hypothesis testing. Simultaneous Inference in Regression provides a thorough overview of the construction methods and applications of…

Hardback – 2010-10-18

CRC Press*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Circular and Linear Regression

#### Fitting Circles and Lines by Least Squares

Find the right algorithm for your image processing application Exploring the recent achievements that have occurred since the mid-1990s, Circular and Linear Regression: Fitting Circles and Lines by Least Squares explains how to use modern algorithms to fit geometric contours (circles and circular…

Hardback – 2010-06-21

CRC Press*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Statistical Inference

#### An Integrated Bayesian/Likelihood Approach

Filling a gap in current Bayesian theory, Statistical Inference: An Integrated Bayesian/Likelihood Approach presents a unified Bayesian treatment of parameter inference and model comparisons that can be used with simple diffuse prior specifications. This novel approach provides new solutions to…

Hardback – 2010-06-01

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Expansions and Asymptotics for Statistics

Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions…

Hardback – 2010-05-06

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Introduction to Time Series Modeling

In time series modeling, the behavior of a certain phenomenon is expressed in relation to the past values of itself and other covariates. Since many important phenomena in statistical analysis are actually time series and the identification of conditional distribution of the phenomenon is an…

Hardback – 2010-04-20

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Mixed Effects Models for Complex Data

Although standard mixed effects models are useful in a range of studies, other approaches must often be used in correlation with them when studying complex or incomplete data. Mixed Effects Models for Complex Data discusses commonly used mixed effects models and presents appropriate approaches to…

Hardback – 2009-11-10

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Antedependence Models for Longitudinal Data

The First Book Dedicated to This Class of Longitudinal Models Although antedependence models are particularly useful for modeling longitudinal data that exhibit serial correlation, few books adequately cover these models. By gathering results scattered throughout the literature, Antedependence…

Hardback – 2009-08-18

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### ROC Curves for Continuous Data

Since ROC curves have become ubiquitous in many application areas, the various advances have been scattered across disparate articles and texts. ROC Curves for Continuous Data is the first book solely devoted to the subject, bringing together all the relevant material to provide a clear…

Hardback – 2009-05-20

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Hidden Markov Models for Time Series

#### An Introduction Using R

Reveals How HMMs Can Be Used as General-Purpose Time Series Models Implements all methods in RHidden Markov Models for Time Series: An Introduction Using R applies hidden Markov models (HMMs) to a wide range of time series types, from continuous-valued, circular, and multivariate series to binary…

Hardback – 2009-04-27

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Missing Data in Longitudinal Studies

#### Strategies for Bayesian Modeling and Sensitivity Analysis

Drawing from the authors’ own work and from the most recent developments in the field, Missing Data in Longitudinal Studies: Strategies for Bayesian Modeling and Sensitivity Analysis describes a comprehensive Bayesian approach for drawing inference from incomplete data in longitudinal studies. To…

Hardback – 2008-03-10

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Nonlinear Time Series

#### Semiparametric and Nonparametric Methods

Useful in the theoretical and empirical analysis of nonlinear time series data, semiparametric methods have received extensive attention in the economics and statistics communities over the past twenty years. Recent studies show that semiparametric methods and models may be applied to solve…

Hardback – 2007-03-21

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*### Statistical Methods for Spatio-Temporal Systems

Statistical Methods for Spatio-Temporal Systems presents current statistical research issues on spatio-temporal data modeling and will promote advances in research and a greater understanding between the mechanistic and the statistical modeling communities.Contributed by leading researchers in the…

Hardback – 2006-10-19

Chapman and Hall/CRC*Chapman & Hall/CRC Monographs on Statistics & Applied Probability*